Each simulation is 420 observations of 4 varaibles (3 clusters, with 140 observations each). This document focus on 4 simulation models, namely, EEE EEV, and banana. These models have the simulation factor specified in the title and is accompanied by 2 other documents which vary the simulation factor.
| Simulation factor | EEE family | EEV family | banana family |
|---|---|---|---|
| baseline | EEE | EEV | banana |
| correlated noise dimensions | EEE_corNoise | EEV_corNoise | banana_corNoise |
| mean differences in combination of variables | EEE_mnComb | EEV_mnComb | banana_mnComb |
The starting basis initialized to PC1:2 of each model. Radial tours created for the top 3 variables.
Let’s check if our component variance-covariance matrices are non-singular and postive semi-definate.
## [1] "cov: cov_circ"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_pos"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_neg"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_circ_corNoise"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_pos_corNoise"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_neg_corNoise"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
Scrucca, Luca, Michael Fop, T. Brendan Murphy, and Adrian E. Raftery. “Mclust 5: Clustering, Classification and Density Estimation Using Gaussian Finite Mixture Models.” The R Journal 8, no. 1 (August 2016): 289-317.